Question

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Answer 1

Step-by-step explanation:

$x = 17 + 12 \sqrt{2}$

$\frac{1}{x} = 17 - 12 \sqrt{2}$

$\sqrt{x} = \sqrt{9} + \sqrt{8} = 3 + \sqrt{8}$

$\frac{1}{ \sqrt{x} } = 3 - \sqrt{8}$

$\sqrt{x} - \frac{1}{ \sqrt{x} } = 3 + \sqrt{8} - (3 - \sqrt{8} )$

$= 2 \sqrt{8}$